Find the differential dy for the given values of x and dx. y=frac{e^x}{10},x=0,dx=0.1

Find the differential dy for the given values of x and dx. y=frac{e^x}{10},x=0,dx=0.1

Differential equations
asked 2020-10-26
Find the differential dy for the given values of x and dx. \(y=\frac{e^x}{10},x=0,dx=0.1\)

Answers (1)

Differentiate both sides with respect to x
Using chain rule, we can write
Recall: \(\frac{d(e^u)}{du}=e^u\)
Multiply both sides by dx
Result: \(dy=\frac{e^{\frac{x}{10}}}{10dx}\)

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